Question Type 1: Finding solutions to quadratic equations by turning into ax^2+bx+c=0 and solving for x Exercises

Solve the equation $\frac{2}{3}x^2 - \frac{5}{3}x + 1 = 0$.

Solve $0.5x^2 + x - 3 = 0$ for $x$.

Solve the quadratic equation $4x^2 + 4\sqrt{2}\,x + 2 = 0$ for $x$.

Solve the quadratic equation $4x^2 + 6x - 10 = 0$ for $x$.

Find the roots of $x^2 - 5x + 6 = 0$.

Find the roots of $2x^2 - 7x + 3 = 0$.

Solve the equation $5x^2 - 20x + 15 = 0$ for $x$.

Solve $4x^2 - 12x + 9 = 0$ for $x$.

Solve $x^2 - 4x + 5 = 0$ and state the nature of the roots.

Solve $2x^2 + 3x = 5$ for $x$.

Solve the quadratic equation $x^2 + 4x + 1 = 0$.

Find the solutions to $3x^2 - x - 2 = 0$.